Question

In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer-

I. 2x2 - 14x + 20 = 0

II. 8y2 - 32y + 24 = 0
1. x > y
2. x ≥ y
3. x < y
4. x ≤ y
5. x = y or the relation cannot be determined

Comments

ans is 5 relation cannti be dertermind

Answer 1

Correct Answer - Option 5 : x = y or the relation cannot be determined

Given:

I. 2x² – 14x + 20 = 0

II. 8y² – 32y + 24 = 0

Concept used:

Using factorization (Middle term split) method.

Calculation:

2x² – 14x + 20 = 0

⇒ 2x² – 10x – 4x + 20 = 0

⇒ 2x(x – 5) – 4(x – 5) = 0

⇒ (x – 5)(2x – 4) = 0

⇒ (x – 5) = 0 or (2x – 4) = 0

⇒ x = 5 or x = 2

⇒ x = 2, 5

8y² – 32y + 24 = 0

⇒ 8y² – 24y – 8y + 24 = 0

⇒ 8y(y – 3) – 8(y – 3) = 0

⇒ (y – 3)(8y – 8) = 0

⇒ (y – 3) = 0 or (8y – 8) = 0

⇒ y = 3 or y = 1

⇒ y = 1, 3

∴ The relation cannot be determined.